Algebra Examples

$14 = - (x - 8)$

Step 1

Rewrite the equation as $- (x - 8) = 14$ .

$- (x - 8) = 14$

Step 2

Simplify $- (x - 8)$ .

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Step 2.1

Apply the distributive property.

$- x - - 8 = 14$

Step 2.2

Multiply $- 1$ by $- 8$ .

$- x + 8 = 14$

Step 3

Move all terms not containing $x$ to the right side of the equation.

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Step 3.1

Subtract $8$ from both sides of the equation.

$- x = 14 - 8$

Step 3.2

Subtract $8$ from $14$ .

$- x = 6$

Step 4

Divide each term in $- x = 6$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- x = 6$ by $- 1$ .

$\frac{- x}{- 1} = \frac{6}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{6}{- 1}$

Step 4.2.2

Divide $x$ by $1$ .

$x = \frac{6}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $6$ by $- 1$ .

$x = - 6$